 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| I. N. Boyarshinova and V. Yu. Stolbov, "Optimization of the residual stress formation process during the surface processing," Mech. Solids. 39 (3), 58-64 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
3 |
Pages |
58-64 |
| Title |
Optimization of the residual stress formation process during the surface processing |
| Author(s) |
I. N. Boyarshinova (Perm)
V. Yu. Stolbov (Perm) |
| Abstract |
The statement and solution technique are presented for the problem of optimization of the process of creation of the residual stresses to provide the optimal strength of the structure when operated. As an example, an analytical solution is given for the problem of the optimization of parameters of the shot-jet processing of the surface of a workpiece.
The search for the workpiece processing parameters to
provide a distribution of the residual stresses that would be optimal for the operation involves two coupled optimization problems to be solved-
the problem of optimal design of the structure and the processing optimization problem. The latter problem requires determining the processing parameters to create a prescribed distribution of residual stresses. To solve such a problem, it is necessary to know the residual stresses that are most favorable for improving the operating characteristics of the structure (e.g., increasing its strength), since the residual stresses are added to the stresses due to external loads. The determination of such residual stresses is an optimization problem.
The general statement of simultaneous problems of optimal design of a structure and optimal control of its manufacturing, as well as techniques for solving such problems, have been presented in [1, 2] for a number of thermomechanical treatment processes. Such problems are referred to as bioptimization problems.
In the present paper, we consider the mathematical statement of the problem of surface processing of a workpiece so as to provide the workpiece with optimal strength when operated. An analytical solution of this problem is given. |
| References |
| 1. | Yu. I. Nyashin and V. Yu. Stolbov, "Optimal control
of technological residual stresses in order to increase the strength and stability of the structure," Prikladnaya Mekhanika, Vol. 29, No. 8, pp. 3-12, 1993. |
| 2. | V. Yu. Stolbov and P. V. Trusov, "Coupled problems
of optimization of processes of elastoplastic deformation of
metals," PMM [Applied Mathematics and Mechanics], Vol. 63, No. 4, pp. 687-695, 1999. |
| 3. | N. V. Banichuk, Introduction to the Optimal Design
[in Russian], Nauka, Moscow, 1986. |
| 4. | I. N. Boyarshinova and G. L. Kolmogorov, "Residual stresses in the near-surface layer of workpieces after shot-jet processing," in Vestnik PGTU. Mekhanika, No. 2, pp. 18-25, Perm, 1995. |
| 5. | J. Zarka, "Direct analysis of elastic-plastic structures
with "overlay" materials during cyclic loading,"
Intern. J. Num. Meth. in Eng, Vol. 15, No. 2, pp. 225-235, 1980. |
| 6. | A. Niku-Lari, J. Lu, and J. F. Flavenot,
"Measurement of residual stress distribution by the incremental hole-drilling method," Advances in Surface Treat. Vol. 4, pp. 199-219,
1987. |
|
| Received |
22 May 2001 |
| << Previous article | Volume 39, Issue 3 / 2004 | Next article >> |
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